91Ó°ÊÓ

In Exercises \(71-90,\) convert the rectangular equation to polar form. Assume \(a > 0\). $$x^{2}+y^{2}-2 a y=0$$

In Exercises \(71-90,\) convert the rectangular equation to polar form. Assume \(a > 0\). $$\left(x^{2}+y^{2}\right)^{2}=x^{2}-y^{2}$$

In Exercises \(71-90,\) convert the rectangular equation to polar form. Assume \(a > 0\). $$\left(x^{2}+y^{2}\right)^{2}=9\left(x^{2}-y^{2}\right)$$

Determine whether the statement is true or false. Justify your answer. A line that has an inclination greater than \(\pi / 2\) radians has a negative slope.

In Exercises \(71-90,\) convert the rectangular equation to polar form. Assume \(a > 0\). $$y^{3}=x^{2}$$

In Exercises \(71-90,\) convert the rectangular equation to polar form. Assume \(a > 0\). $$y^{2}=x^{3}$$

Determine whether the statement is true or false. Justify your answer. To find the angle between two lines whose angles of inclination \(\theta_{1}\) and \(\theta_{2}\) are known, substitute \(\theta_{1}\) and \(\theta_{2}\) for \(m_{1}\) and \(m_{2},\) respectively, in the formula for the angle between two lines.

In Exercises \(91-116\), convert the polar equation to rectangular form. $$r=4 \sin \theta$$

Determine whether the statement is true or false. Justify your answer. The inclination of a line is the angle between the line and the \(x\) -axis.

In Exercises \(91-116\), convert the polar equation to rectangular form. $$r=-2 \cos \theta$$